Velocity-strengthening friction significantly affects interfacial dynamics, strength and dissipation. Bar-Sinai, Y., Spatschek, R., Brener, E. A, & Bouchbinder, E. Sci. Rep., 5:7841, January, 2015.
abstract   bibtex   
Frictional interfaces abound in natural and man-made systems, yet their dynamics are not well-understood. Recent extensive experimental data have revealed that velocity-strengthening friction, where the steady-state frictional resistance increases with sliding velocity over some range, is a generic feature of such interfaces. This physical behavior has very recently been linked to slow stick-slip motion. Here we elucidate the importance of velocity-strengthening friction by theoretically studying three variants of a realistic friction model, all featuring identical logarithmic velocity-weakening friction at small sliding velocities, but differ in their higher velocity behaviors. By quantifying energy partition (e.g. radiation and dissipation), the selection of interfacial rupture fronts and rupture arrest, we show that the presence or absence of strengthening significantly affects the global interfacial resistance and the energy release during frictional instabilities. Furthermore, we show that different forms of strengthening may result in events of similar magnitude, yet with dramatically different dissipation and radiation rates. This happens because the events are mediated by rupture fronts with vastly different propagation velocities, where stronger velocity-strengthening friction promotes slower rupture. These theoretical results may have significant implications on our understanding of frictional dynamics.
@ARTICLE{Bar-Sinai2015-rv,
  title    = "Velocity-strengthening friction significantly affects interfacial
              dynamics, strength and dissipation",
  author   = "Bar-Sinai, Yohai and Spatschek, Robert and Brener, Efim A and
              Bouchbinder, Eran",
  abstract = "Frictional interfaces abound in natural and man-made systems, yet
              their dynamics are not well-understood. Recent extensive
              experimental data have revealed that velocity-strengthening
              friction, where the steady-state frictional resistance increases
              with sliding velocity over some range, is a generic feature of
              such interfaces. This physical behavior has very recently been
              linked to slow stick-slip motion. Here we elucidate the
              importance of velocity-strengthening friction by theoretically
              studying three variants of a realistic friction model, all
              featuring identical logarithmic velocity-weakening friction at
              small sliding velocities, but differ in their higher velocity
              behaviors. By quantifying energy partition (e.g. radiation and
              dissipation), the selection of interfacial rupture fronts and
              rupture arrest, we show that the presence or absence of
              strengthening significantly affects the global interfacial
              resistance and the energy release during frictional
              instabilities. Furthermore, we show that different forms of
              strengthening may result in events of similar magnitude, yet with
              dramatically different dissipation and radiation rates. This
              happens because the events are mediated by rupture fronts with
              vastly different propagation velocities, where stronger
              velocity-strengthening friction promotes slower rupture. These
              theoretical results may have significant implications on our
              understanding of frictional dynamics.",
  journal  = "Sci. Rep.",
  volume   =  5,
  pages    = "7841",
  month    =  jan,
  year     =  2015,
  language = "en"
}

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